44 citations · 143 across the 17 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.GT2011
Alternating links and left-orderability
Joshua Evan Greene
Let L \subset S^3 denote an alternating link and Sigma(L) its branched double-cover. We give a short proof of the fact that the fundamental group of Sigma(L) admits a left-ordering…
math.GT2011★ 19 cited
Turaev torsion, definite 4-manifolds, and quasi-alternating knots
Joshua Evan Greene, Liam Watson
We construct an infinite family of hyperbolic, homologically thin knots that are not quasi-alternating. To establish the latter, we argue that the branched double-cover of each kno…
math.GT2011
Lattices, graphs, and Conway mutation
Joshua Evan Greene
The d-invariant of an integral, positive definite lattice L records the minimal norm of a characteristic covector in each equivalence class mod 2L. We prove that the 2-isomorphism…